A Lotka–Volterra competition model and its global convergence to a definite axial equilibrium

被引：0

作者：

Asim Sikder

机构：

[1] Department of Mathematics,

[2] The Ramkrishna Research Institute For Science,undefined

[3] Calcutta 700008,undefined

[4] India. e-mail: asim2001@vsnl.net,undefined

来源：

Journal of Mathematical Biology | 2002年 / 44卷

关键词：

Single Species; Matrix Theory; Global Convergence; Competition Model; Product Theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a four-species model based on competition and show that the whole four-species system collapses to a definite single species equilibrium at its carrying capacity. To do so, we use the results of Hirsch [4], Van Den Driessche and Zeeman [20], Hofbauer and Sigmund [5], and the product theorem of the Conley connection matrix theory by Mischaikow and Reineck [10].

引用

页码：297 / 308

页数：11

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